Answer:
n=6
Explanation:
We are given the equation
6(n+5)=66
We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.
6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.
6(n+5)/6=66/6
(n+5) = 66/6
n+5 = 11
5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
n+5-5=11-5
n=11-5
n=6
Let's check our solution. Plug 6 in for n and solve.
6(n+5)=66
6(6+5)=66
6(11)=66
66=66
The statement above is true, so we know our solution is correct.
The solution to the equation 6(n+5)=66 is n=6